How to Convert cm3 to m3 – Cubic Centimeters to Cubic Meters Conversion Examples


cube of cubes

When converting cm3 to m3, remember each cube extends in three directions. The 100 cm per meter becomes 1 million cubic centimeters per cubic meter!

Converting centimeters to meters is a straightforward exercise. All too often, people stumble when arranging their centimeters in a cube. These two example problems will show the best way to convert cm3 to m3 and back again.

The conversion factor between cm3 to m3 is

1,000,000 cm3 = 1 m3

or

106 cm3 = 1 m3

How do you get that? Start with the conversion from cm to m.

100 cm = 1 m

A cubic meter is a cube 1 meter wide, 1 meter deep and 1 meter tall.

1 m3 = 1 m x 1 m x 1 m

Substitute the conversion factor for meter to centimeter

1 m3 = (100 cm) x (100 cm) x (100 cm)
1 m3 = 1,000,000 cm3 = 106 cm3

cm3 to m3 Conversion Example Problem

Q: How many cubic meters are in 250,000 cubic centimeters?

Multiply the conversion factor to the 250,000 cm3. Put the unit you want to be canceled out in the denominator.

Convert cm3 to m3 example 1 step 1

This arrangement allows us to cancel out the unnecessary units, leaving only the unit we want.

convert cm3 to m3 example 1 step 2

0.25 m3 = x m3

Answer: 250,000 cm3 is equal to 0.25 m3.

m3 to cm3 Conversion Example Problem

Q: How many cubic centimeters are in 5 cubic meters?

Multiply the conversion factor to the 5 m3. Put the unit you want to be canceled out in the denominator.

m3 to cm3 example problem step 1

This setup allows us to cancel out the unneeded m3 units.

m3 to cm3 conversion example step 2

5 x 106 cm3 = x cm3

A: There are 5 x 106 (5 million) cubic centimeters in 5 cubic meters.

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